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Wednesday, July 15, 2020 | History

7 edition of A compactification of the Bruhat-Tits building found in the catalog.

A compactification of the Bruhat-Tits building

by Erasmus Landvogt

  • 69 Want to read
  • 30 Currently reading

Published by Springer in Berlin, New York .
Written in English

    Subjects:
  • Linear algebraic groups,
  • Buildings (Group theory)

  • Edition Notes

    Includes bibliographical references (p. 150-151) and index.

    StatementErasmus Landvogt.
    SeriesLecture notes in mathematics ;, 1619, Lecture notes in mathematics (Springer-Verlag) ;, 1619.
    Classifications
    LC ClassificationsQA3 .L28 no. 1619, QA179 .L28 no. 1619
    The Physical Object
    Paginationvii, 152 p. :
    Number of Pages152
    ID Numbers
    Open LibraryOL808221M
    ISBN 103540604278
    LC Control Number95044956

    We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are   Title: Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank. Authors: Annette Werner (Submitted on 3 Apr ) Abstract: We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) by attaching all the Bruhat-Tits buildings of PGL(W) for non-trivial subspaces W of V as a ://

    Let G F denote the rational points of a semisimple group G over a non-archimedean local field F, with Bruhat–Tits building paper contains five main results. We prove a convergence theorem for sequences of parahoric subgroups of G F in the Chabauty topology, which enables us to compactify the vertices of obtain a structure theorem showing that the Bruhat–Tits Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank. By Annette Werner. Abstract. We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) by attaching all the Bruhat-Tits buildings of PGL(W) for non-trivial subspaces W of V as a t: 27 pages, one figur

      book [BJ06], in which the case of locally symmetric varieties is also covered. One of our main re-sults is to construct for each semisimple group G over a suitable non-Archimedean valued field k, a family of compactifications of the Bruhat-Tits building BRUHAT TITS THEORY FROM BERKOVICH'S POINT OF VIEW II SATAKE COMPACTIFICATIONS OF BUILDINGS: Niveau: Supérieur, Doctorat, Bac+8BRUHAT-TITS THEORY FROM BERKOVICH'S POINT OF VIEW. II. SATAKE COMPACTIFICATIONS OF BUILDINGS BERTRAND REMY, AMAURY THUILLIER AND ANNETTE WERNER July Abstract: In the paper Bruhat-Tits  › Documents › Education › Internship reports.


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A compactification of the Bruhat-Tits building by Erasmus Landvogt Download PDF EPUB FB2

The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is g The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field.

In addition, an explicit description of the boundary is given. In order to make this work as self-contained as possible and also accessible to  › Mathematics › Algebra.

The A compactification of the Bruhat-Tits building book of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field.

In order to make this work as self-contained as possible and also accessible to non-experts in Bruhat-Tits theory, the construction of the Bruhat-Tits building itself is given :// In addition, an explicit description of the boundary is given.

In order to make this work as self-contained as possible and also accessible to non-experts in Bruhat-Tits theory, the construction of the Bruhat-Tits building itself is given completely.

(source: Nielsen Book Data)   A Compactification of the Bruhat-Tits Building Springer. Contents Introduction 1 § 0 Definitions and notations 3 Chapter I The apartment 14 § 1 The empty apartment 14 § 2 The compactification of the empty apartments 21 Chapter II The   A building (cf.

also Tits building) which is defined for a connected reductive group over a field which is complete with respect to a non-trivial discrete valuation and has a perfect residue class field. It is the topological realization of the (poly-) simplicial complex of all parahoric subgroups.

One way to define it more precisely is as :// A Compactification of the Bruhat-Tits Building DESCRIPTION. A Compactification of the Bruhat-Tits Building PDF. Découvrez de nouveaux livres avec Télécharger un livre A Compactification of the Bruhat-Tits Building en format PDF est plus facile que jamais.

Book by Landvogt Erasmus. TAILLE DU FICHIER 8,16 MB DATE DE A Compactification of the Bruhat-Tits Building (Lecture Notes in Mathematics) Paperback – Novem by Erasmus Landvogt (Author) › Visit Amazon's Erasmus Landvogt Page.

Find all the books, read about the author, and more. › Books › Science & Math › Mathematics. Compactification of the Bruhat-Tits Building of PGL by Lattices of Smaller Rank Annette Werner Received: Ap Revised: September 3, Communicated by Peter Schneider Abstract.

In this paper we construct a compactiflcation of the Bruhat-Tits building associated to the group PGL(V) by attaching Amazon配送商品ならA Compactification of the Bruhat-Tits Building (Lecture Notes in Mathematics)が通常配送無料。更にAmazonならポイント還元本が多数。Landvogt, Erasmus作品ほか、お急ぎ便対象商品は当日お届けも可能。 The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field.

In addition, an explicit description of the boundary is given. In order to make this work as self-contained as possible and also accessible to non-experts in Bruhat-Tits theory, the construction of the Cite this chapter as: Landvogt E.

() The building and its compactification. In: A Compactification of the Bruhat-Tits Building. Lecture Notes in Mathematics, vol We construct a compactification of the Bruhat-Tits building X associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence.

Then we define a continuous map from the projective space to which extends the reduction map from Drinfeld’s p-adic symmetric domain to the building :// Compactification of the Bruhat-Tits building. Berlin: Springer, © (DLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Erasmus Landvogt CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We construct a compactification X of the Bruhat-Tits building X associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence.

Then we define a continuous map from the projective space to X ?doi= CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. In this paper we construct a compactification of the Bruhat-Tits building associated to the group P GL(V) by attaching all the Bruhat-Tits buildings of P GL(W) for ?doi=   We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence.

Then we define a continuous map from the projective space to this compactification which extends the reduction map from Drinfeld's p-adic symmetric domain to the :// Cite this chapter as: Landvogt E.

() The apartment. In: A Compactification of the Bruhat-Tits Building. Lecture Notes in Mathematics, vol CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this paper we construct a compactification of the Bruhat-Tits building associated to the group PGL(V) by attaching all the Bruhat-Tits buildings of PGL(W) for non-trivial subspaces W of V as a ?doi= A compactification of the Bruhat-Tits building Erasmus Landvogt (Lecture notes in mathematics, ) Springer-Verlag.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract: Let GF denote the rational points of a semisimple group G over a non-archimedean local field F, with Bruhat-Tits building X. This paper contains five main results. We prove a convergence theorem for sequences of parahoric subgroups of GF in the Chabauty topology, which enables to ?doi=In [We2] a concrete compactification of the Bruhat-Tits building of P GL is studied, which can be identified with the space of isometry classes of non-Archimedean norms on K n.

In [We1] we We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence.

Then we define a continuous map from the projective space to this compactification which extends the reduction map from